Mathematics
Sample Test 2005
Teacher’s Directions
Grade
4
Table of Contents
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Page 1
Check Your Sample Test Materials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Page 2
Plan Your Sample Testing Schedule . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Page 2
Sample Test Format and Schedule . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Page 2
Accommodations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Page 3
Prepare Sample Test Materials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Page 4
Punch-Out Tools. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Page 4
Answer Sheets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Page 4
Administer the Sample Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Page 4
Day 1, Book 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Page 4
Day 2, Book 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Page 6
Day 3, Book 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Page 7
It is important to read this entire document prior to administering the sample test.
Teacher’s Directions, Grade 4 Sample Test 2005
Introduction
The Department has entered into a partnership with CTB/McGraw-Hill for the development of the elementary- and intermediatelevel assessments in Mathematics. Teachers from across the State have worked with us in a variety of activities to ensure that
the tests will be appropriate measures of student achievement of the New York State Learning Standards.
It is suggested that the Grade 4 Mathematics Sample Test be given on three consecutive days.
Day 1, Book 1:
• multiple-choice questions
Day 2, Book 2:
• short-response and extended-response questions
Day 3, Book 3:
• short-response and extended-response questions
Each multiple-choice question is followed by four choices, one of which is correct. Students will record their responses on a
separate answer sheet.
The short-response and extended-response questions require students to write (rather than select) an appropriate response.
These questions will allow students to take different paths to a solution and to use different strategies.
By following the guidelines in this document, you can help ensure that the sample test will be equitable for all students. A
series of instructions will help you organize the materials and sample testing schedule for maximum efficiency.
Teacher’s Directions, Grade 4 Sample Test 2005
Page 1
CHECK YOUR SAMPLE TEST MATERIALS
To administer this sample test, you will need the materials listed below.
For the teacher:
• Sample Test 2005 Teacher’s Directions
• Book 1
• Book 2
• Book 3
• Do Not Disturb sign (not provided)
• Extra No. 2 pencils with erasers (not provided)
For each student:
• Answer sheet (for Book 1 only)
• Book 1
• Book 2
• Book 3
• Punch-Out Tools sheet
• No. 2 pencil with eraser (not provided)
• Envelopes for Punch-Out Tools (not provided)
PLAN YOUR SAMPLE TESTING SCHEDULE
• It is suggested that Book 1, Book 2, and Book 3 be administered on three consecutive days.
• Schedule testing to allow sufficient time for instructions and preparations. See Page 3 for time
requirements.
• Read the Sample Test 2005 Teacher’s Directions in its entirety prior to administering the
sample test.
• Review Step 4, “Administer the Sample Test,” before each section.
• Read directions at a moderate, steady pace.
• Adhere to testing time limits.
• Call time if all students complete the section early.
• Avoid testing just after students have had strenuous physical activity.
Sample Test Format and Schedule
The sample test is divided into three books: Book 1, Book 2, and Book 3.
Book 1 contains multiple-choice questions. Each multiple-choice question is followed by four choices, one of
which is the correct answer. Students will answer the multiple-choice questions in Book 1 by filling in circles
on their answer sheets. Book 2 and Book 3 contain short-response and extended-response questions. These
questions require the students to write their responses. Students will write their responses for these questions
directly in their sample test books.
The three sections of the sample test will take approximately three hours of testing time. It is suggested that the
sample test be administered on three consecutive days as described in the chart on the next page. If all students
finish before the recommended time, the section may be ended early. Students who have not completed a section
of the sample test within the designated time should not be given additional time to finish.
Page 2
Teacher’s Directions, Grade 4 Sample Test 2005
The chart below provides information about the format of the sample test, where and how students are to
record their answers, and the time allotted for each part of the sample test.
GRADE 4 MATHEMATICS SAMPLE TEST
Day 1
Book 1
• 30 multiple-choice questions
(Students fill in circles on
answer sheet.)
50 minutes,
plus an additional
10 minutes
prep time
Day 2
Book 2
• 9 short-response and
extended-response questions
(Students write their answers
directly in Book 2.)
45 minutes,
plus an additional
10 minutes
prep time
Day 3
Book 3
• 9 short-response and
extended-response questions
(Students write their answers
directly in Book 3.)
45 minutes,
plus an additional
10 minutes
prep time
Accommodations
Students with Disabilities
In general, students with disabilities should be provided with the testing accommodations specified in their
Individualized Education Programs (IEPs) or Section 504 Accommodation Plans (504 Plans) when taking this
sample test. However, testing accommodations that alter the measurement of a construct being tested are not
permitted on elementary- and intermediate-level State assessments. Only those testing accommodations that
do not alter the construct of the test are permitted.
Testing accommodations in students’ IEPs or 504 Plans that are reading-related—for example, reading the test to
the student—are permitted for these Mathematics Sample Tests. However, test questions may never be modified
or simplified nor may the school provide additional examples.
Use of Calculators
Because this sample test assesses a student’s proficiencies involving calculations, the use of a calculator or
mathematics tables will not be allowed. Students whose IEPs or 504 Plans specify the use of an abacus will be
permitted to use such a device with these Mathematics Sample Tests.
Limited-English-Proficient (LEP) Students
Information on accommodations for LEP students can be found in the New York State Testing Program’s
2005 School Administrator’s Manual. A copy of this document was mailed to the school principal prior to the
administration of the 2005 Grades 4 and 8 Mathematics Tests. It is also available on the Department’s web site
at www.emsc.nysed.gov/osa.
Teacher’s Directions, Grade 4 Sample Test 2005
Page 3
PREPARE SAMPLE TEST MATERIALS
Punch-Out Tools
• Each student must have one set of Punch-Out Tools.
• Photocopy the Punch-Out Tools sheet, one copy per student.
• Cut out the tools and place one set of tools in an envelope for each student. The envelopes will be used for
distributing and collecting the tools during test administration.
• Before administering the sample test, give students the opportunity to familiarize themselves with the
tools.
Answer Sheets
• Locate the separate answer sheet that has been provided for this sample test.
• Make sure you have photocopied a sufficient number of answer sheets to distribute to your students.
• Students will be recording their answers to the multiple-choice questions (Book 1) on their answer sheets,
but will be writing their answers to the short-response and extended-response questions (Book 2 and Book 3)
directly in their sample test books.
ADMINISTER THE SAMPLE TEST
Please read these directions carefully before administering the sample test. When you administer the sample
test, the directions you are to read aloud are preceded by SAY. The italicized instructions to teachers should
not be read aloud.
Day 1, Book 1
Make sure you have a copy of Book 1.
Make sure each student has a No. 2 pencil.
Students may not use scrap paper.
No extra paper is to be distributed to students. (In operational testing, only the responses on students‘ answer
sheets will be scored.)
SAY
There are three books for this sample test. Today you will answer the questions in Book 1.
Tomorrow you will answer the questions in Book 2. The next day, you will answer the questions
in Book 3.
Distribute an answer sheet to each student. Ask the students to look at their answer sheets.
SAY
Find the words STUDENT NAME at the bottom of the answer sheet. Write your first and
last name on the blank line next to these words.
For the questions in Book 1, you will mark your answers on this answer sheet.
When marking answers on the answer sheet, you will fill in the circle for the letter that
matches your answer for each question.
Page 4
Teacher’s Directions, Grade 4 Sample Test 2005
Use only a No. 2 pencil. You may not use a pen.
When you fill in the circles, make heavy black marks.
If you make a mistake, erase it completely.
Make no stray marks.
Do not make any marks on the back of the answer sheet.
Are there any questions?
Distribute a set of Punch-Out Tools (ruler, pattern blocks, and counters) in an envelope to each student. Explain
to the students that they will use these tools to help them solve some of the problems on the sample test. Make
sure each student’s name is on the envelope for collecting and redistributing the Punch-Out Tools.
Distribute a Book 1 to each student. Make sure each student has a No. 2 pencil. Students may not use
scrap paper.
SAY
This is your Book 1.
Do not open your sample test book until I tell you to do so.
All your answers must be marked on the answer sheet.
Book 1 of the sample test contains multiple-choice questions. Read each problem in the
sample test book carefully and answer the questions. On the answer sheet, you will fill
in the letter that matches your answer for each question.
Open your sample test book to Page 1. You will see Tips for Taking the Sample Test and
information in a box. I will read all the sentences aloud while you read along silently.
Read aloud the Tips for Taking the Sample Test and the information in the box.
SAY
Now look at Sample A on Page 2.
Check to see that all students are on Sample A in the sample test book.
SAY
Answer sample questions A, B, and C. When you have finished, stop working.
Give students time to answer Samples A, B, and C. Then discuss the samples with them. The correct answer
for Sample A is choice B, the correct answer for Sample B is choice J, and the correct answer for Sample C is
choice C.
SAY
Read the directions and questions carefully. You may use your tools to help you solve any
problem on the sample test. When you see the words GO ON at the bottom of a page,
keep going to the next page. When you come to the word STOP, you have finished Book 1.
You may go back and check your work. When you have finished, sit quietly until I call time.
You will have 50 minutes to complete Book 1. I will write the time on the board. You must
work independently and you may not speak with each other while this sample test is being
administered. Are there any questions?
Pause to answer questions. When you are confident that everyone understands how to take the test,
SAY
Turn to Page 5, question 1.
Check to see that all students are on question 1 in the sample test book.
SAY
You may begin.
Teacher’s Directions, Grade 4 Sample Test 2005
Page 5
Record the time.
Be sure that students are filling in the circles on the answer sheet appropriately by making their marks heavy
and dark with a No. 2 pencil.
After 40 minutes,
SAY
You have 10 more minutes to complete this part of the sample test.
Record the time.
After 50 minutes (or sooner, if you are sure everyone has finished),
SAY
Please stop working. This is the end of Book 1. Close your books. Put your tools in the
envelope. We will answer the questions in Book 2 tomorrow. Now I will collect the answer
sheets, sample test books, and tools.
Collect and keep envelopes for the next testing section. Collect all sample test books and answer sheets.
Day 2, Book 2
Distribute a Book 2 and a set of Punch-Out Tools to each student. Make sure each student has a No. 2 pencil.
Have on hand a copy of Book 2.
Do not redistribute the answer sheets; all answers to the questions in Book 2 will be written in the sample test
book. No extra paper is to be distributed to the students. Only the responses in their sample test books will be
scored.
SAY
This is your Book 2. Today you will answer the questions in Book 2.
Find the word NAME at the bottom of the front cover. Write your first and last name on
the blank line next to the word NAME.
Do not open your sample test book until I tell you to do so.
Hold up your copy of Book 2. Open your book to Page 1 and point to the section, Tips for Taking the Sample Test.
SAY
Open your sample test book to Page 1. You will see Tips for Taking the Sample Test and
information in a box. I will read all the sentences aloud, as I did in the last section, while
you read along silently.
Read aloud the Tips for Taking the Sample Test and the information in the box.
SAY
For Book 2, you will write your answers in the sample test book. Read the directions and
questions carefully. Be sure to write clearly and legibly. It is important to show all your
work as well as your final answer in the sample test book. You may use your tools to help
you solve any problem on the sample test. Are there any questions?
Pause to answer questions. When you are confident that everyone understands the directions,
SAY
Page 6
When you see the words GO ON at the bottom of a page, keep going to the next page.
When you come to the word STOP, you have finished Book 2. You may go back and check
your work. When you have finished, sit quietly until I call time. You will have 45 minutes
to complete Book 2. I will write the time on the board. You must work independently
and you may not speak with each other while this sample test is being administered. Are
there any questions?
Teacher’s Directions, Grade 4 Sample Test 2005
Pause to answer questions.
SAY
Turn to Page 3, question 31.
Check to see that all students are on question 31 in the sample test book.
SAY
You may begin.
Record the time.
After 35 minutes,
SAY
You have 10 more minutes to complete this part of the sample test.
Record the time.
After 45 minutes (or sooner, if you are sure everyone has finished),
SAY
Please stop working. This is the end of Book 2. Close your books. Put your tools in the
envelope. We will answer the questions in Book 3 tomorrow. Now I will collect the sample
test books and the tools.
Collect all sample test books and envelopes.
Day 3, Book 3
Distribute a Book 3 and a set of Punch-Out Tools to each student. Make sure each student has a No. 2 pencil.
Have on hand a copy of Book 3.
Do not redistribute the answer sheets; all answers to the questions in Book 3 will be written in the sample test
book. No extra paper is to be distributed to the students. Only the responses in their sample test books will be
scored.
SAY
This is your Book 3. Today you will answer the questions in Book 3.
Find the word NAME at the bottom of the front cover. Write your first and last name on
the blank line next to the word NAME.
Do not open your sample test books until I tell you to do so. As in Book 2, you will write
your answers in your sample test book.
Hold up your copy of Book 3. Open your book and point to the section, Tips for Taking the Sample Test.
SAY
Open your sample test book to Page 1. You will see Tips for Taking the Sample Test and
information in a box. I will read all the sentences aloud, as I did in the last section, while
you read along silently.
Read aloud the Tips for Taking the Sample Test and the information in the box.
SAY
For Book 3, you will write your answers in the sample test book. Read the directions and
questions carefully. Be sure to write clearly and legibly. It is important to show all your
work as well as your final answer in the sample test book. You may use your tools to help
you solve any problem on the sample test. Are there any questions?
Teacher’s Directions, Grade 4 Sample Test 2005
Page 7
Pause to answer questions. When you are confident that everyone understands the directions,
SAY
When you see the words GO ON at the bottom of a page, keep going to the next page.
When you come to the word STOP, you have finished Book 3. You may go back and check
your work. When you have finished, sit quietly until I call time. You will have 45 minutes
to complete Book 3. I will write the time on the board. You must work independently
and you may not speak with each other while this sample test is being administered. Are
there any questions?
Pause to answer questions.
SAY
Turn to Page 3, question 40.
Check to see that all students are on question 40 in the sample test book.
SAY
You may begin.
Record the time.
After 35 minutes,
SAY
You have 10 more minutes to complete this part of the sample test.
Record the time.
After 45 minutes (or sooner, if you are sure everyone has finished),
SAY
Please stop working. This is the end of the sample test. Close your books. Put your tools
in the envelope. Now I will collect the sample test books and the tools.
Collect all sample test books and envelopes.
Page 8
Teacher’s Directions, Grade 4 Sample Test 2005
Grade 4
Mathematics
Sample Test 2005
Teacher’s Directions